Mai spends 7 3/4 hours in school each day. Her lunch period is 1/2 hour long, and she spends a total 7/10 hour switching rooms between classes. The rest of her day is spent in 6 classes that are all the same length. How long is each class?
This is wrong!!!!
which one?
Is the answer A) 1 1/15 B) 1 3/20 C) 1 11/60 D) 1 4/15
SOMEONE TELL US THE RIGHT ANSWER
You shouldn't be asking for the answers to finish your homework and go play your fortnite or somthing. You should be answering these questions yourself. I'd say that you can ask if your answer is correct though.
To find the length of each class, we need to subtract the time Mai spends on lunch and switching rooms from her total school time.
Total school time = 7 3/4 hours
Lunch period = 1/2 hour
Switching rooms between classes = 7/10 hour
First, convert 7 3/4 hours to an improper fraction:
7 3/4 = 7 + 3/4 = (7 * 4/4) + 3/4 = 28/4 + 3/4 = 31/4
Now, subtract the lunch period and switching rooms time from the total school time:
31/4 - 1/2 - 7/10
To subtract fractions, we need to have a common denominator. The least common multiple (LCM) of 4, 2, and 10 is 20.
31/4 - 1/2 - 7/10 = (31/4)*5/5 - (1/2)*10/10 - (7/10)*2/2
= 155/20 - 10/20 - 14/20
= (155 - 10 - 14)/20
= 131/20
So, the remaining time after subtracting lunch and switching rooms time is 131/20 hours.
Since Mai spends the rest of her day in 6 classes that are the same length, we can find the length of each class by dividing the remaining time by the number of classes:
131/20 ÷ 6
To divide fractions, we need to multiply by the reciprocal of the divisor:
131/20 ÷ 6 = 131/20 * 1/6
= 131/120
Therefore, each class is approximately 131/120 hours long.
Lunch: 0.5
Changing rooms: 0.7
7.75 - 1.2 = 6.55
6.55 / 6 = 1.09 hours/class